{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Physics-Informed Neural Networks (PINNs) in Neuromancer\n",
    "\n",
    "This tutorial demonstrates the use of [PINNs](https://en.wikipedia.org/wiki/Physics-informed_neural_networks) for solving partial differential equations (PDEs) in the Neuromancer library.\n",
    "\n",
    "<img src=\"../figs/PINNs.png\" width=\"600\">  \n",
    "\n",
    "### References\n",
    "\n",
    "[1] [Raissi, M., Perdikaris, P., & Karniadakis, G. E. (2017). Physics informed deep learning (part i): Data-driven solutions of nonlinear partial differential equations.](https://www.sciencedirect.com/science/article/abs/pii/S0021999118307125)\n",
    "\n",
    "[2] https://github.com/jdtoscano94/Learning-Python-Physics-Informed-Machine-Learning-PINNs-DeepONets/tree/main\n",
    "\n",
    "[3] https://github.com/omniscientoctopus/Physics-Informed-Neural-Networks/tree/main\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Y61YA90-WIZ1"
   },
   "source": [
    "## Install (Colab only)\n",
    "Skip this step when running locally."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "WZrPCr9GWEAJ",
    "outputId": "139c2953-fce4-4416-f0e0-935b4c80b092"
   },
   "outputs": [],
   "source": [
    "!pip install neuromancer\n",
    "!pip install pyDOE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Note: When running on Colab, one might encounter a pip dependency error with Lida 0.0.10. This can be ignored*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "OdYMzuSDi7Js",
    "outputId": "dc7c1686-9731-4c41-fe1c-c4ea328fd4c5"
   },
   "outputs": [],
   "source": [
    "# torch and numpy imports\n",
    "import torch\n",
    "import torch.nn as nn                    \n",
    "import numpy as np\n",
    "\n",
    "# data imports\n",
    "from scipy.io import loadmat\n",
    "\n",
    "# plotting imports\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# filter some user warnings from torch broadcast\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Set default dtype to float32\n",
    "torch.set_default_dtype(torch.float)\n",
    "\n",
    "#PyTorch random number generator\n",
    "torch.manual_seed(1234)\n",
    "\n",
    "# Random number generators in other libraries\n",
    "np.random.seed(1234)\n",
    "\n",
    "# Device configuration\n",
    "if torch.backends.mps.is_available():\n",
    "    device = torch.device('mps')\n",
    "elif torch.cuda.is_available():\n",
    "    device = torch.device('cuda')\n",
    "else:\n",
    "    device = torch.device('cpu')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem Setup\n",
    "\n",
    "**[Burgers' Equation](https://en.wikipedia.org/wiki/Burgers%27_equation)** is convection–diffusion equation occurring in various areas of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, and traffic flow. The equation is given as:\n",
    "\n",
    "$$\\frac{\\partial y}{\\partial t}+ y\\frac{\\partial y}{\\partial x}=\\nu\\frac{\\partial^2 y}{\\partial x^2} $$\n",
    "\n",
    "$$x\\in[-1,1]$$\n",
    "$$t\\in[0,1]$$\n",
    "\n",
    "Where $(x, t)$ represent spatio-temporal coordinates, $y(x, t)$ is the speed of the fluid at these corrdinates, and $\\nu = 0.01/\\pi$ represents the diffusion coefficient (or kinematic viscosity in the fluid mechanical context).\n",
    "\n",
    "**Initial Condition:**\n",
    "\n",
    "$$y(x,0)= -sin(\\pi x)$$\n",
    "\n",
    "**Boundary Conditions:**\n",
    "\n",
    "$$y(−1, t) = 0$$\n",
    "$$y(1, t) = 0$$\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "pOe9yRvxjakj"
   },
   "source": [
    "### Generate data of the exact solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Download the data if running on Colab\n",
    "# local_path = \"/content/data/burgers_shock.mat\"\n",
    "# url = \"https://github.com/pnnl/neuromancer/raw/master/examples/PDEs/data/burgers_shock.mat\"\n",
    "# !mkdir -p /content/data\n",
    "# !wget -O {local_path} {url}\n",
    "\n",
    "data = loadmat('./data/burgers_shock.mat') \n",
    "x = data['x']                                   # space:      256 points between -1 and 1 [256x1]\n",
    "t = data['t']                                   # time:       100 time points between 0 and 1 [100x1] \n",
    "ysol = data['usol']                             # velocitu:   PDE solution [256x100] \n",
    "\n",
    "nu = 0.01/np.pi                                 #diffusion coeficient\n",
    "\n",
    "X, T = np.meshgrid(x,t)                         # makes 2 arrays X and T such that u(X[i],T[j])=usol[i][j] are a tuple\n",
    "X = torch.tensor(X.T).float()\n",
    "T = torch.tensor(T.T).float()\n",
    "y_real = torch.tensor(ysol).float()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([256, 100]) torch.Size([256, 100]) torch.Size([256, 100])\n"
     ]
    }
   ],
   "source": [
    "print(X.shape, T.shape, y_real.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot the solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "F8Y6q7m288zJ"
   },
   "outputs": [],
   "source": [
    "def plot3D(X, T, y):\n",
    "    X = X.detach().numpy()\n",
    "    T = T.detach().numpy()\n",
    "    y = y.detach().numpy()\n",
    "\n",
    "    #     2D\n",
    "    fig = plt.figure()\n",
    "    ax1 = fig.add_subplot(121)\n",
    "    cm = ax1.contourf(T, X, y, 20,cmap=\"viridis\")\n",
    "    fig.colorbar(cm, ax=ax1) # Add a colorbar to a plot\n",
    "    ax1.set_title('u(x,t)')\n",
    "    ax1.set_xlabel('t')\n",
    "    ax1.set_ylabel('x')\n",
    "    ax1.set_aspect('equal')\n",
    "        #     3D\n",
    "    ax2 = fig.add_subplot(122, projection='3d')\n",
    "    ax2.plot_surface(T, X, y,cmap=\"viridis\")\n",
    "    ax2.set_xlabel('t')\n",
    "    ax2.set_ylabel('x')\n",
    "    ax2.set_zlabel('u(x,t)')\n",
    "    fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot3D(X, T, y_real) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Test data: PDE solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_test = X.reshape(-1,1)\n",
    "T_test = T.reshape(-1,1)\n",
    "Y_test = y_real.reshape(-1,1) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Construct training datasets\n",
    "\n",
    "We construct training and development datasets containing [collocation points (CP)](https://en.wikipedia.org/wiki/Collocation_method) of the spatio-temporal domain (x,t), and samples of the [initial conditions (IC)](https://en.wikipedia.org/wiki/Initial_condition), and [boundary conditions (BC)](https://en.wikipedia.org/wiki/Boundary_value_problem).\n",
    "\n",
    "The dataset is given as:\n",
    "$\\Xi_{\\text{train/dev}} = [\\texttt{CP}^i, \\texttt{IC}^j, \\texttt{BC}^j]$, $i = 1,...,N_f$, $j = 1,...,N_u$  \n",
    "Where $N_f$ defines number of collocation points, and $N_u$ number of initial and boundary condition samples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Samples of Initial Condition (IC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([256, 1]) torch.Size([256, 1]) torch.Size([256, 1])\n"
     ]
    }
   ],
   "source": [
    "#   Left Edge: u(x,0) = -sin(pi*x) \n",
    "left_X = X[:, [0]]\n",
    "left_T = T[:, [0]]\n",
    "left_Y = -torch.sin(np.pi * left_X[:, 0]).unsqueeze(1)\n",
    "print(left_X.shape, left_T.shape, left_Y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Samples of Boundary Conditions (BC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([100, 1]) torch.Size([100, 1]) torch.Size([100, 1])\n",
      "torch.Size([100, 1]) torch.Size([100, 1]) torch.Size([100, 1])\n"
     ]
    }
   ],
   "source": [
    "#   Bottom Edge: x=min; tmin=<t=<max\n",
    "bottom_X = X[[0], :].T\n",
    "bottom_T = T[[0], :].T\n",
    "bottom_Y = torch.zeros(bottom_X.shape[0], 1)\n",
    "print(bottom_X.shape, bottom_T.shape, bottom_Y.shape)\n",
    "#   Top Edge: x=max; 0=<t=<1\n",
    "top_X = X[[-1], :].T\n",
    "top_T = T[[-1], :].T\n",
    "top_Y = torch.zeros(top_X.shape[0], 1)\n",
    "print(top_X.shape, top_T.shape, top_Y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Number of training samples for IC and BC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([456, 1]) torch.Size([456, 1]) torch.Size([456, 1])\n",
      "torch.Size([200, 1]) torch.Size([200, 1]) torch.Size([200, 1])\n"
     ]
    }
   ],
   "source": [
    "# Get all the initial and boundary condition data\n",
    "X_train = torch.vstack([left_X, bottom_X, top_X])\n",
    "T_train = torch.vstack([left_T, bottom_T, top_T])\n",
    "Y_train = torch.vstack([left_Y, bottom_Y, top_Y])\n",
    "print(X_train.shape, T_train.shape, Y_train.shape)\n",
    "\n",
    "# Choose (Nu) Number of training points for initial and boundary conditions\n",
    "Nu = 200\n",
    "\n",
    "# Randomly sample Nu points of our available initial and boundary condition data:\n",
    "idx = np.sort(np.random.choice(X_train.shape[0], Nu, replace=False))\n",
    "X_train_Nu = X_train[idx, :].float()  # Training Points  of x at (IC+BC)\n",
    "T_train_Nu = T_train[idx, :].float()  # Training Points  of t at (IC+BC)\n",
    "Y_train_Nu = Y_train[idx, :].float()  # Training Points  of y at (IC+BC)\n",
    "print(X_train_Nu.shape, T_train_Nu.shape, Y_train_Nu.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Samples of Collocation Points (CP)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([-1.]) tensor([1.])\n",
      "tensor([0.]) tensor([0.9900])\n",
      "torch.Size([1000, 1]) torch.Size([1000, 1])\n",
      "torch.Size([1200, 1]) torch.Size([1200, 1])\n"
     ]
    }
   ],
   "source": [
    "# x Domain bounds\n",
    "x_lb = X_test[0]    # [-1.]\n",
    "x_ub = X_test[-1]   # [1.]\n",
    "print(x_lb, x_ub)\n",
    "\n",
    "# t Domain bounds\n",
    "t_lb = T_test[0]    # [0.]\n",
    "t_ub = T_test[-1]   # [0.99]\n",
    "print(t_lb, t_ub)\n",
    "\n",
    "#  Choose (Nf) Collocation Points to Evaluate the PDE on\n",
    "Nf = 1000  # Nf: Number of collocation points (Evaluate PDE)\n",
    "\n",
    "# generate collocation points (CP)\n",
    "X_train_CP = torch.FloatTensor(Nf, 1).uniform_(float(x_lb), float(x_ub))\n",
    "T_train_CP = torch.FloatTensor(Nf, 1).uniform_(float(t_lb), float(t_ub))\n",
    "print(X_train_CP.shape, T_train_CP.shape)\n",
    "\n",
    "# add IC+BC to the collocation points\n",
    "X_train_Nf = torch.vstack((X_train_CP, X_train_Nu)).float()  # Collocation Points of x (CP)\n",
    "T_train_Nf = torch.vstack((T_train_CP, T_train_Nu)).float()  # Collocation Points of t (CP)\n",
    "print(X_train_Nf.shape, T_train_Nf.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original shapes for X, T, and Y: torch.Size([256, 100]) torch.Size([256, 100]) torch.Size([256, 100])\n",
      "Initial and Boundary condition shapes for X: torch.Size([256, 1]) torch.Size([100, 1]) torch.Size([100, 1])\n",
      "Initial and Boundary condition shapes for T: torch.Size([256, 1]) torch.Size([100, 1]) torch.Size([100, 1])\n",
      "Available training data of IC and BC (X,T,Y): torch.Size([456, 1]) torch.Size([456, 1]) torch.Size([456, 1])\n",
      "Selected training data of IC and BC (X,T,Y): torch.Size([200, 1]) torch.Size([200, 1]) torch.Size([200, 1])\n",
      "Final training data of CP (X,T): torch.Size([1200, 1]) torch.Size([1200, 1])\n",
      "Final test data (X,T,Y): torch.Size([25600, 1]) torch.Size([25600, 1]) torch.Size([25600, 1])\n"
     ]
    }
   ],
   "source": [
    "print(\"Original shapes for X, T, and Y:\",X.shape,T.shape,y_real.shape)\n",
    "print(\"Initial and Boundary condition shapes for X:\",left_X.shape,bottom_X.shape,top_X.shape)\n",
    "print(\"Initial and Boundary condition shapes for T:\",left_T.shape,bottom_T.shape,top_T.shape)\n",
    "print(\"Available training data of IC and BC (X,T,Y):\",X_train.shape,T_train.shape,Y_train.shape)\n",
    "print(\"Selected training data of IC and BC (X,T,Y):\",X_train_Nu.shape,T_train_Nu.shape,Y_train_Nu.shape)\n",
    "print(\"Final training data of CP (X,T):\",X_train_Nf.shape, T_train_Nf.shape)\n",
    "print(\"Final test data (X,T,Y):\",X_test.shape, T_test.shape, Y_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot collocation points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize collocation points for 2D input space (x, t)\n",
    "plt.figure()\n",
    "plt.scatter(X_train_CP.detach().numpy(), T_train_CP.detach().numpy(),\n",
    "            s=4., c='blue', marker='o', label='CP')\n",
    "plt.scatter(X_train_Nu.detach().numpy(), T_train_Nu.detach().numpy(),\n",
    "            s=4., c='red', marker='o', label='IC+BC')\n",
    "plt.title('Sampled IC, BC, and CP (x,t) for training')\n",
    "plt.xlim(x_lb, x_ub)\n",
    "plt.ylim(t_lb, t_ub)\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('t')\n",
    "plt.legend(loc='upper right')\n",
    "plt.show()\n",
    "plt.show(block=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create Neuromancer datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuromancer.dataset import DictDataset\n",
    "\n",
    "# turn on gradients for PINN\n",
    "X_train_Nf.requires_grad=True\n",
    "T_train_Nf.requires_grad=True\n",
    "\n",
    "# Training dataset\n",
    "train_data = DictDataset({'x': X_train_Nf, 't':T_train_Nf}, name='train')\n",
    "# test dataset\n",
    "test_data = DictDataset({'x': X_test, 't':T_test, 'y':Y_test}, name='test')\n",
    "\n",
    "# torch dataloaders\n",
    "batch_size = X_train_Nf.shape[0]  # full batch training\n",
    "train_loader = torch.utils.data.DataLoader(train_data, batch_size=batch_size,\n",
    "                                           collate_fn=train_data.collate_fn,\n",
    "                                           shuffle=False)\n",
    "test_loader = torch.utils.data.DataLoader(test_data, batch_size=batch_size,\n",
    "                                         collate_fn=test_data.collate_fn,\n",
    "                                         shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PINN Architecture in Neuromancer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ZHYqtyYJs3Jv"
   },
   "source": [
    "### Neural Network Architecture\n",
    "\n",
    "We will use a neural network to approximate the PDE solution:\n",
    "$$\\hat{y} = NN_{\\theta}(x,t)$$  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuromancer.modules import blocks\n",
    "from neuromancer.system import Node\n",
    "\n",
    "# neural net to solve the PDE problem bounded in the PDE domain \n",
    "net = blocks.MLP(insize=2, outsize=1, hsizes=[32, 32], nonlin=nn.Tanh)\n",
    "\n",
    "# symbolic wrapper of the neural net\n",
    "pde_net = Node(net, ['x', 't'], ['y_hat'], name='net')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "symbolic inputs  of the pde_net: ['x', 't']\n",
      "symbolic outputs of the pde_net: ['y_hat']\n"
     ]
    }
   ],
   "source": [
    "print(\"symbolic inputs  of the pde_net:\", pde_net.input_keys)\n",
    "print(\"symbolic outputs of the pde_net:\", pde_net.output_keys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1200, 1])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# evaluate forward pass on the train data\n",
    "net_out = pde_net(train_data.datadict)\n",
    "net_out['y_hat'].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Define Physics-informed terms \n",
    "\n",
    "Our neural network approximation  must satisfy the PDE equations  $NN_{\\theta}(x,t) \\approx y(x,t)$. \n",
    "Thus we define the physics-informed layers as $f_{\\texttt{PINN}}$:\n",
    "\n",
    "$$f_{\\texttt{PINN}}(t,x)=\n",
    "\\frac{\\partial NN_{\\theta}(x,t)}{\\partial t}+ NN_{\\theta}(x,t) \\frac{\\partial NN_{\\theta}(x,t)}{\\partial x} -\\nu\\frac{\\partial^2 NN_{\\theta}(x,t)}{\\partial x^2}\n",
    " $$\n",
    "\n",
    "We can obtain the derivatives of the neural net $\\frac{\\partial NN_{\\theta}}{\\partial t},\\frac{\\partial^2 NN_{\\theta}}{\\partial x^2}$ using [Automatic Diferentiation](https://en.wikipedia.org/wiki/Automatic_differentiation). \n",
    "\n",
    "To simplify the implementation of $f_{\\texttt{PINN}}$ we exploit the symbolic variable of the Neuromancer library. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuromancer.constraint import variable\n",
    "\n",
    "# symbolic Neuromancer variables\n",
    "y_hat = variable('y_hat')  # PDE solution generated as the output of a neural net (pde_net)\n",
    "t = variable('t')  # temporal domain\n",
    "x = variable('x')  # spatial domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get the symbolic derivatives\n",
    "dy_dt = y_hat.grad(t)\n",
    "dy_dx = y_hat.grad(x)\n",
    "d2y_d2x = dy_dx.grad(x)\n",
    "# get the PINN form\n",
    "f_pinn = dy_dt + y_hat*dy_dx - nu*d2y_d2x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1200, 1])\n",
      "torch.Size([1200, 1])\n",
      "torch.Size([1200, 1])\n",
      "torch.Size([1200, 1])\n"
     ]
    }
   ],
   "source": [
    "# check the shapes of the forward pass of the symbolic PINN terms\n",
    "print(dy_dt({**net_out, **train_data.datadict}).shape)\n",
    "print(dy_dx({**net_out, **train_data.datadict}).shape)\n",
    "print(d2y_d2x({**net_out, **train_data.datadict}).shape)\n",
    "print(f_pinn({**net_out, **train_data.datadict}).shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# computational graph of the PINN neural network\n",
    "f_pinn.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PINNs' Loss function terms\n",
    "\n",
    "**PDE Collocation Points Loss:**  \n",
    "We evaluate our PINN $f_{\\texttt{PINN}}$ over given number ($N_f$) of collocation points (CP) and minimize the PDE residuals in the following loss function:\n",
    "\n",
    "$$\\ell_{f}=\\frac{1}{N_f}\\sum^{N_f}_{i=1}|f_{\\texttt{PINN}}(t_f^i,x_f^i)|^2$$\n",
    "\n",
    "\n",
    "If $f_{\\texttt{PINN}}\\rightarrow 0$ then our PINN will be respecting the physical law.\n",
    "\n",
    "**PDE Initial and Boundary Conditions Loss:**\n",
    "\n",
    "We select $N_u$ points from our BC and IC and used them in the following supervised learning loss function:\n",
    "\n",
    "$$\\ell_{u}=\\frac{1}{N_u}\\sum^{N_u}_{i=1}|y(t_{u}^i,x_u^i)-NN_{\\theta}(t_{u}^i,x_u^i)|^2$$\n",
    "\n",
    "**Bound the PINN output in the PDE solution domain:**  \n",
    "We expect the outputs of the neural net to be bounded in the PDE solution domain $NN_{\\theta}(x,t) \\in [-1.0, 1.0]$, thus we impose the following inequality constraints via additional penalties:\n",
    "\n",
    "$$\\ell_{y}=\\frac{1}{N_f}\\sum^{N_f}_{i=1} \\Big(|\\texttt{RELU}(NN_{\\theta}(t_{f}^i,x_f^i) - y_{max})|^2 + |\\texttt{RELU}(-NN_{\\theta}(t_{f}^i,x_f^i) + y_{min})|^2 \\Big)$$\n",
    "\n",
    "\n",
    "#### Total Loss:\n",
    "The total loss is just a sum of PDE residuals over CP and supervised learning residuals over IC and BC.\n",
    "$$\\ell_{\\text{PINN}}=\\ell_{f}+\\ell_{u} +\\ell_{y}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# scaling factor for better convergence\n",
    "scaling = 100.\n",
    "\n",
    "# PDE CP loss\n",
    "ell_f = scaling*(f_pinn == 0.)^2\n",
    "\n",
    "# PDE IC and BC loss\n",
    "ell_u = scaling*(y_hat[-Nu:] == Y_train_Nu)^2  # remember we stacked CP with IC and BC\n",
    "\n",
    "# output constraints to bound the PINN solution in the PDE output domain [-1.0, 1.0]\n",
    "con_1 = scaling*(y_hat <= 1.0)^2\n",
    "con_2 = scaling*(y_hat >= -1.0)^2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Train the PINN to solve the PDE\n",
    "\n",
    "We use stochastic gradient descent to optimize the parameters $\\theta$ of the neural network $NN_{\\theta}(t,x)$ approximating the solution to the PDE equation $y(t,x)$ using the PINN loss $\\ell_{\\text{PINN}}$ evaluated over sampled CP, IP, and BC."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define the optimization problem in Neuromancer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuromancer.loss import PenaltyLoss\n",
    "from neuromancer.problem import Problem\n",
    "\n",
    "# create Neuromancer optimization loss\n",
    "pinn_loss = PenaltyLoss(objectives=[ell_f, ell_u], constraints=[con_1, con_2])\n",
    "\n",
    "# construct the PINN optimization problem\n",
    "problem = Problem(nodes=[pde_net],      # list of nodes (neural nets) to be optimized\n",
    "                  loss=pinn_loss,       # physics-informed loss function\n",
    "                  grad_inference=True   # argument for allowing computation of gradients at the inference time)\n",
    "                 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Construct Trainer and solve the problem  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from neuromancer.trainer import Trainer\n",
    "\n",
    "optimizer = torch.optim.AdamW(problem.parameters(), lr=0.003)\n",
    "epochs = 8000\n",
    "\n",
    "#  Neuromancer trainer\n",
    "trainer = Trainer(\n",
    "    problem.to(device),\n",
    "    train_loader,\n",
    "    optimizer=optimizer,\n",
    "    epochs=epochs,\n",
    "    epoch_verbose=200,\n",
    "    train_metric='train_loss',\n",
    "    dev_metric='train_loss',\n",
    "    eval_metric=\"train_loss\",\n",
    "    warmup=epochs,\n",
    "    device=device\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch: 0  train_loss: 30.703752517700195\n",
      "epoch: 200  train_loss: 9.102638244628906\n",
      "epoch: 400  train_loss: 6.460238933563232\n",
      "epoch: 600  train_loss: 5.737445831298828\n",
      "epoch: 800  train_loss: 5.35071325302124\n",
      "epoch: 1000  train_loss: 5.135370254516602\n",
      "epoch: 1200  train_loss: 4.9495344161987305\n",
      "epoch: 1400  train_loss: 4.2078423500061035\n",
      "epoch: 1600  train_loss: 3.968079090118408\n",
      "epoch: 1800  train_loss: 3.8504180908203125\n",
      "epoch: 2000  train_loss: 3.651148796081543\n",
      "epoch: 2200  train_loss: 3.476442575454712\n",
      "epoch: 2400  train_loss: 3.28338623046875\n",
      "epoch: 2600  train_loss: 2.97001576423645\n",
      "epoch: 2800  train_loss: 3.1779909133911133\n",
      "epoch: 3000  train_loss: 2.6244583129882812\n",
      "epoch: 3200  train_loss: 2.4648187160491943\n",
      "epoch: 3400  train_loss: 2.317368745803833\n",
      "epoch: 3600  train_loss: 2.196094036102295\n",
      "epoch: 3800  train_loss: 2.1602351665496826\n",
      "epoch: 4000  train_loss: 1.9406378269195557\n",
      "epoch: 4200  train_loss: 1.764129638671875\n",
      "epoch: 4400  train_loss: 1.620125412940979\n",
      "epoch: 4600  train_loss: 1.771981120109558\n",
      "epoch: 4800  train_loss: 1.3632996082305908\n",
      "epoch: 5000  train_loss: 1.171094298362732\n",
      "epoch: 5200  train_loss: 1.2155243158340454\n",
      "epoch: 5400  train_loss: 1.1615842580795288\n",
      "epoch: 5600  train_loss: 0.9415767192840576\n",
      "epoch: 5800  train_loss: 0.8807054758071899\n",
      "epoch: 6000  train_loss: 0.8137883543968201\n",
      "epoch: 6200  train_loss: 0.7451995611190796\n",
      "epoch: 6400  train_loss: 0.6951974630355835\n",
      "epoch: 6600  train_loss: 0.6385849118232727\n",
      "epoch: 6800  train_loss: 0.5902301669120789\n",
      "epoch: 7000  train_loss: 0.5334432125091553\n",
      "epoch: 7200  train_loss: 0.48998141288757324\n",
      "epoch: 7400  train_loss: 0.4740908741950989\n",
      "epoch: 7600  train_loss: 0.5029316544532776\n",
      "epoch: 7800  train_loss: 0.465106725692749\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<All keys matched successfully>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Train PINN\n",
    "best_model = trainer.train()\n",
    "\n",
    "# load best trained model\n",
    "problem.load_state_dict(best_model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "kpRh89zM8Te8"
   },
   "source": [
    "## Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# evaluate trained PINN on test data\n",
    "PINN = problem.nodes[0].cpu()\n",
    "y1= PINN(test_data.datadict)['y_hat']\n",
    "\n",
    "# arrange data for plotting\n",
    "y_pinn = y1.reshape(shape=[256,100]).detach().cpu()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 526
    },
    "id": "ituXQapsciqE",
    "outputId": "982cffba-812a-4fc4-baf7-42ef29c3f339"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot PINN solution\n",
    "plot3D(X, T, y_pinn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 526
    },
    "id": "xarXcLDdeF7X",
    "outputId": "cb845f12-3d53-401f-d237-f963cf9b93ea"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot exact PDE solution\n",
    "plot3D(X, T, y_real)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot residuals PINN - exact PDE\n",
    "plot3D(X, T, y_pinn-y_real)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "collapsed_sections": [
    "Y61YA90-WIZ1",
    "UoqCzgLSp61M",
    "i0j73GoH86-m",
    "pOe9yRvxjakj"
   ],
   "include_colab_link": true,
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